84350362032640 has 640 divisors, whose sum is σ = 248867101486080. Its totient is φ = 27019424563200.

The previous prime is 84350362032611. The next prime is 84350362032667. The reversal of 84350362032640 is 4623026305348.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×84350362032640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754885575 + ... + 754997305.

It is an arithmetic number, because the mean of its divisors is an integer number (388854846072).

Almost surely, 2^{84350362032640} is an apocalyptic number.

84350362032640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84350362032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124433550743040).

84350362032640 is an abundant number, since it is smaller than the sum of its proper divisors (164516739453440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84350362032640 is a wasteful number, since it uses less digits than its factorization.

84350362032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111884 (or 111868 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

Adding to 84350362032640 its reverse (4623026305348), we get a palindrome (88973388337988).

The spelling of 84350362032640 in words is "eighty-four trillion, three hundred fifty billion, three hundred sixty-two million, thirty-two thousand, six hundred forty".